102101102000 has 160 divisors (see below), whose sum is σ = 250384867200. Its totient is φ = 40264320000.

The previous prime is 102101101979. The next prime is 102101102017. The reversal of 102101102000 is 201101201.

It is a super-2 number, since 2×102101102000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54337061 + ... + 54338939.

It is an arithmetic number, because the mean of its divisors is an integer number (1564905420).

Almost surely, 2^102101102000 is an apocalyptic number.

102101102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125192433600).

102101102000 is an abundant number, since it is smaller than the sum of its proper divisors (148283765200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101102000 is a wasteful number, since it uses less digits than its factorization.

102101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102101102000 its reverse (201101201), we get a palindrome (102302203201).

The spelling of 102101102000 in words is "one hundred two billion, one hundred one million, one hundred two thousand".